Finite Math Examples

$\frac{0.0075 \cdot 80000}{1 - {(1 + 0.0075)}^{- 180}}$

Step 1

Multiply $0.0075$ by $80000$ .

$\frac{600}{1 - {(1 + 0.0075)}^{- 180}}$

Step 2

Simplify the denominator.

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Step 2.1

Add $1$ and $0.0075$ .

$\frac{600}{1 - {1.0075}^{- 180}}$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{600}{1 - \frac{1}{{1.0075}^{180}}}$

Step 2.3

Raise $1.0075$ to the power of $180$ .

$\frac{600}{1 - \frac{1}{3.83804326}}$

Step 2.4

Divide $1$ by $3.83804326$ .

$\frac{600}{1 - 1 \cdot 0.26054943}$

Step 2.5

Multiply $- 1$ by $0.26054943$ .

$\frac{600}{1 - 0.26054943}$

Step 2.6

Subtract $0.26054943$ from $1$ .

$\frac{600}{0.73945056}$

Step 3

Divide $600$ by $0.73945056$ .

$811.41326732$